This is the Important question of class 10 Based on Section Formula Chapter of M.L Aggarwal book for ICSE BOARD.
Here the mid-point of a line segment shown in the adjoining diagram . Write down the co-ordinates asked in question.
This is the Question Number 33, Exercise 11 of M.L Aggarwal.
Deepak BoraNewbie
The mid-point of the line segment AB shown in the adjoining diagram is (4, – 3). Write down the co-ordinates of A and B.
Share
Let P(4,-3) be the midpoint of line joining the points A and B.
Since A lies on X axis, its co-ordinates are (x2,0)
Since B lies on Y axis, its co-ordinates are (0,y1)
By midpoint formula, x = (x1+x2)/2
4 = (0+x2)/2
x2 = 4×2 = 8
By midpoint formula, y = (y1+y2)/2
-3 = (y1+0)/2
y1 = -3×2 = -6
Hence the co-ordinates of A and B are (8,0)and (0,-6) respectively.